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The company's sales are seasonal with peak in mid-December and lowest point in mid-June. Company makes $100,000 in sales in December, and only $20,000 in June.
Assume that the circle passes through vertex and x-intercept s of the parabola y= x^2 - 2bx, where b>0. Illustrate that circumference of circle as the function of b is C=πb^2 + π.
On way back, wind is still blowing at same speed, so return trip only takes 1hr and 12 mins. Determine speed in still air, and how fast is wind blowing?
Determine the equation of curve that results by translating graph of f(x) x^2, 5 units to right and 3 units down, shrunk horizontally by 1/3 and elongated vertically by 2 times.
Determine maximum value of function, f(x) = -2x^2 + 2x -5 . Also compute equation of line passing through points of intersection of the curve and g(x) = x^2 + 3x +2 , if possible.
The velocity of the stone dropped from the balloon is 32ft per second, where t is time in seconds after release. How far stone travels in first 10 seconds?
On Novermber 27, 1993, New York times reported that wildlife biologists have discovered the direct link between increase in human population in florida and reduction of local black bear population.
Write equation of tangent line at point of tangency indicated. Write any point(s) where there is change in concavity of function.
The rancher has 288 feet of fencing to enclose two adjacent retangular corrals. What dimensions will make largest total area? Determine maximum total area?
Assume the cost benefit model is provided by f(x)=6.9x/(100-x), where y is cost in thousands of dollars for removing x percent of the given pollutant. Determine cost of removing 35% to nearest dolla
The 17 cm by 21 cm retangular garden is to have the gravel path of uniform width bordering it. How wide is path if total area covered by garden and path is 525cm^2.
For what value of x will area of cross section be maximum (and maximize amount of water that th gutter will hold)? If essential round to two decimal places.
For every 50 cent increase in price, sales per game drop by 5000 hot dogs. Find price per hot dog must be vending company charge to realize maximum revenue? Determine maximum revenue?
Find time in years which are required to double (the amount) with the annual interest of 6% whihc is compounded each month.
If you require $25,000 six years from now, find minimum amount of money you require to deposit in the bank account which pays 5% annual interest, compounded: i) annually ii) monthly iii) daily.
Determine zeros of function by solving f(x)=0. Any real zeros are first coordinates of x-intercepts. Compute additional function values to find general shape of graph and then draw graph.
The box with open top is to be made from the rectagular piece of cardboard with dimensions 12" 20" by cutting out equal squares of side x at every corner and then folding up sides. Determine the fu
From the point on ground level, you estimate angle of elevation to top of the mountain to be 38 degrees. Draw the accurate figure which will represents situation. Write all known qualities.
Determine ratio of area of larger polygon to area of smaller polygon? Debbie had the total of 25 nickels and dimes. If value of coins was $1.75, how many of every coin did she possess?
How many horizontal asymptotes can the rational function have? Describe. How many horizontal asymptotes can the arbitrary function have?
Utilize the half-angle formula to rewrite given expression so that it involves sum or difference of only constants and sine and cosine functions to first power.
Formula A= 282e^0.04t models population of the particular city, in thousands, t years after 1998. When will population of city reach 456 thousand?
Determine graph of v which reflects values of v suitable for theproblem. Record window viewing dimensions. If the blood cell is travelling at 0.975 cm/sec, find distance blood cell is from center of a
The total of 730 people attended dance and $12,200 was collected. How many tickets were sold in bookstore and find number of tickets sold at door?
The open rectangular box with the square base is to be made from 48 square feet of materal. Find volume in terms of x? Find implied domain and range of function?